2100001101110 has 128 divisors (see below), whose sum is σ = 4217665075200. Its totient is φ = 746444160000.

The previous prime is 2100001101109. The next prime is 2100001101113. The reversal of 2100001101110 is 111011000012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100001101113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 908696855 + ... + 908699165.

It is an arithmetic number, because the mean of its divisors is an integer number (32950508400).

Almost surely, 2^{2100001101110} is an apocalyptic number.

2100001101110 is an abundant number, since it is smaller than the sum of its proper divisors (2117663974090).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2100001101110 is a wasteful number, since it uses less digits than its factorization.

2100001101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3438.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 2100001101110 its reverse (111011000012), we get a palindrome (2211012101122).

The spelling of 2100001101110 in words is "two trillion, one hundred billion, one million, one hundred one thousand, one hundred ten".